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As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M’s, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain M&M’s. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company’s stated proportions? Test an appropriate hypothesis and state your conclusio

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solytexx2g3

Answer:

there is no consistency with the company's stated proportions

Step-by-step explanation:

yellow 20 %

red 20 %

orange, blue and green 10 %

brown  50 %

From the authors purchase

yellow = 29

red = 23

orange = 12

blue = 14

green = 8

brown = 20

the total of all the purchase = [tex]106[/tex]

taking the probability of each will help us know the percentage

probability = required outcome / possible outcome

P(Yellow) = [tex]\frac{29}{106} \\\\=0.27\\\\

= 27 %

P(Red) = [tex]\frac{23}{106} \\\\=0.21\\\\[/tex]

= 21 %

P(Orange, blue and green) = [tex]\frac{34}{106} \\\\=0.32[/tex]

= 32 %

P(Brown) = [tex]\frac{20}{106} \\\\= 0.18[/tex]

= 18 %

from the question, we have that

i am going to tabulate the two outcomes together

the companies stated outcome  the outcome from our calculations

Yellow 20 %                                 versus      Yellow 27 %

Red 20 %                                      versus      Red 21 %

Orange, Blue and Green 10 %     versus     Orange, Blue and Green 32 %

Brown 50 %                                   versus     Brown 18 %

we can see from the above that there is no consistency with the company's stated proportion.